Shrinking projection methods for firmly nonexpansive mappings

被引：23
作者：
Aoyama, Koji [1 ]
Kohsaka, Fumiaki [2 ]
Takahashi, Wataru [3 ]
机构：
[1] Chiba Univ, Dept Econ, Inage Ku, Chiba 2638522, Japan
[2] Oita Univ, Dept Comp Sci & Intelligent Syst, Oita 8701192, Japan
[3] Tokyo Inst Technol, Dept Math & Comp Sci, Meguro Ku, Tokyo 1528552, Japan
来源：
NONLINEAR ANALYSIS-THEORY METHODS & APPLICATIONS | 2009年 / 71卷 / 12期
关键词：
Shrinking projection method; Firmly nonexpansive mapping; Fixed point; STRONG-CONVERGENCE THEOREMS; OPERATORS;
D O I：
10.1016/j.na.2009.02.001
中图分类号：
O29 [应用数学];
学科分类号：
070104 ;
摘要：
The purpose of this paper is to study the shrinking projection method for firmly nonexpansive mappings. The method gives us a strong convergence iteration for a family of firmly nonexpansive mappings and also permit us to obtain a sufficient condition for the existence of a fixed point of a firmly nonexpansive mapping. (C) 2009 Elsevier Ltd. All rights reserved.
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页码：E1626 / E1632
页数：7
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